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Form 4 Mathematics Paper 1 Exam Revision Questions With Answers

A piece of wire can be folded into a rectangle whose dimensions are such that its length is 2cm longer than its width. The area of the rectangle so formed is $120cm^2$ .
a) Determine:
i) the dimensions of the rectangle
ii) the perimeter of the rectangle
b) The same piece of wire can be folded into a circle. Taking $pi = 22/7$ , find the radius of the circle and hence calculate its area.

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63. Factorise completely $(a - 2b) (2a + b) - (a-2b)^2$
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75. Simplify $((4x+2y)^2-(2y-4x)^2)/((2x+y)^2-(y-2x)^2 )$
76. The figure shows an equilateral triangle ABC in which all the dimensions are given in centimetres. Determine the value of x and hence calculate the area of the triangle
77. A solid metal sphere of radius 7.5 cm is melted down and recast into a solid cylinder of height 15 cm. In the process 4% of the metal is lost. Calculate a) in terms of p the volume of metal used to make the cylinder. b) the radius of the cylinder.
78. A truck which consumes diesel at the rate of 1 litre for every 5 km uses 72 litres of diesel for a certain journey. A bus uses 45 litres of diesel for the same journey. Find the distance the bus covers for every litre of diesel.
79. Solve for y in the equation $8^((2y-1))×32^y=16^((y+1))$
80. The distance between two towns P and Q is 480 km. At 10.28 a.m a bus left town P and travelled towards town Q at an average speed of s km/h. A car left town Q at the same time and travelled towards town P along the same road. The two vehicles met at 1.40 p.m. Given that on average the car travelled 30 km/h faster than the bus, determine the value of s and hence state the speed of the car.
81. The sum of the interior angles of an n-sided polygon is 1080°. Find the value of n and hence deduce the name of the polygon.
82. The wheel of a bicycle is rotating at the rate of 130 revolutions per minute. If the speed of the bicycle is 18.4 km/h, calculate to the nearest whole number, the diameter of the wheel in centimetres. (Take p = 3.142).
83. A straight line passes through the points P (5 , 3) and Q(0 , 6). Find equation of the line in the form y = mx + c and hence find its double intercept equation.
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